Further mechanics

Question 1

How do you convert from radians to degrees?

Answer 1

radians x 360/2π

Question 2

Hod do you convert from degrees to radians?

Answer 2

degrees x 2π/360

Question 3

How do you work out the angle of a sector in radians?

Answer 3

θ=arc length/r

Question 4

Give the definition of one radian

Answer 4

One radian can be defined as the central angle of a circle sector with an arc length equal to the radius of the circle.

Question 5

Give the definition for angular speed

Answer 5

The angular speed is the angle an object roatates through per second.

Question 6

Give the equation for angular speed (ω)

Answer 6

ω= θ/t

Question 7

Give the equation relating angular speed and linear speed

Answer 7

ω=v/r

Question 8

Give the definition for frequency (f)

Answer 8

The frequency is the number of complete rotations per second

Question 9

Give the equation for time period (T)

Answer 9

The period is the time given for a complete revolution to take place

Question 10

Give the equation that that links time period and frequency

Answer 10

f=1/T

Question 11

Give the equation relating angular speed and frequency

Answer 11

ω=2πf